Math with Bad DrawingsCartoon Archive

Fencepost Problem

December 1, 2017

A mathematician answers 'five posts' for a 60-foot fence with posts every 12 feet, leaving a broken fence; the classic off-by-one error.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2017-12-01-fencepost-problem/ (CC BY-NC 4.0)
Transcript

A: "I want to build a 60-foot fence, with posts every 12 feet."

B: "Easy. Five posts."

[Fence drawn with a gap where a section is missing]

A: "Aren't you supposed to be a mathematician?"

B: "Hey, it's not my fault your trick question ripped a hole in the fabric of number!"

Topics
Number & Arithmetic › CountingNumber & Arithmetic › DivisionMath Culture › Problem Solving
Level
ElementaryMiddle School
Themes
Common MistakesMathematiciansEveryday LifePuzzles & Problems